45112000 has 56 divisors (see below), whose sum is σ = 111739680. Its totient is φ = 18041600.

The previous prime is 45111977. The next prime is 45112009. The reversal of 45112000 is 21154.

It is not an unprimeable number, because it can be changed into a prime (45112009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5181 + ... + 10819.

Almost surely, 2^45112000 is an apocalyptic number.

45112000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55869840).

45112000 is an abundant number, since it is smaller than the sum of its proper divisors (66627680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45112000 is an equidigital number, since it uses as much as digits as its factorization.

45112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 45112000 is about 6716.5467317663. The cubic root of 45112000 is about 355.9841763787.

Adding to 45112000 its reverse (21154), we get a palindrome (45133154).

The spelling of 45112000 in words is "forty-five million, one hundred twelve thousand".